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Finding the Fourth Proportional to 31,242.92, 46,864.44 and 7,869.20

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Solution

The fourth proportional to 31,242.92, 46,864.44 and 7,869.20 is: 11,803.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,242.92 : 46,864.44 = 7,869.20 : x
  2. Step 2: Convert to fraction form
    31,242.92/46,864.44 = 7,869.20/x
  3. Step 3: Cross multiply
    31,242.92x = 46,864.44 × 7,869.20
  4. Step 4: Simplify right side
    31,242.92x = 368,785,651.25
  5. Step 5: Solve for x
    x = 368,785,651.25/31,242.92
  6. Step 6: Final answer
    x = 11,803.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.